131021330100 has 144 divisors (see below), whose sum is σ = 392412384000. Its totient is φ = 33712555520.

The previous prime is 131021330053. The next prime is 131021330113. The reversal of 131021330100 is 1033120131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131021330100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16952437 + ... + 16960163.

It is an arithmetic number, because the mean of its divisors is an integer number (2725086000).

Almost surely, 2^131021330100 is an apocalyptic number.

131021330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131021330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196206192000).

131021330100 is an abundant number, since it is smaller than the sum of its proper divisors (261391053900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131021330100 is a wasteful number, since it uses less digits than its factorization.

131021330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9722 (or 9715 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131021330100 its reverse (1033120131), we get a palindrome (132054450231).

The spelling of 131021330100 in words is "one hundred thirty-one billion, twenty-one million, three hundred thirty thousand, one hundred".